Moreover, since \(R_\lambda \)  is ergodic, it follows that for each \(\xi \in T\) , we have that either
\(\mu _\lambda ^{\prime }\circ R_\xi \sim \mu _\lambda ^{\prime }\)  or
\(\mu _\lambda ^{\prime }\circ R_\xi \perp \mu _\lambda ^{\prime }\)  [1]}.
We thus obtain that
\(T\setminus \lbrace \lambda ^n\mid n\in Z\rbrace =\lbrace \xi \in T\mid \mu _\lambda ^{\prime }\circ R_\xi \perp \mu _\lambda ^{\prime }\rbrace .\) 
